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If the azimuthal quantam number of an el...

If the azimuthal quantam number of an electron is 2 then the shape of orbitals is `"____________"`

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To solve the question, "If the azimuthal quantum number of an electron is 2 then the shape of orbitals is '____________'", we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Azimuthal Quantum Number (L)**: - The azimuthal quantum number, denoted as \( L \), determines the shape of the orbital. The values of \( L \) can be 0, 1, 2, 3, etc., corresponding to different types of orbitals. 2. **Identifying Orbital Types**: - The types of orbitals associated with the azimuthal quantum number are: - \( L = 0 \) corresponds to the **s** orbital (spherical shape). - \( L = 1 \) corresponds to the **p** orbital (dumbbell shape). - \( L = 2 \) corresponds to the **d** orbital (double dumbbell shape). - \( L = 3 \) corresponds to the **f** orbital (complex shape). 3. **Determining the Shape for \( L = 2 \)**: - Since the question states that the azimuthal quantum number \( L \) is 2, we identify that this corresponds to the **d** orbitals. 4. **Describing the Shape of the d Orbital**: - The shape of the d orbital is often described as a **double dumbbell**. This means that there are two lobes on either side of the nucleus, resembling two dumbbells. 5. **Final Answer**: - Therefore, if the azimuthal quantum number of an electron is 2, the shape of the orbitals is **double dumbbell**. ### Final Answer: The shape of the orbitals is **double dumbbell**.
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